Image:Poincare disc hyperbolic parallel lines.svg
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Poincare_disc_hyperbolic_parallel_lines.svg (SVG file, nominally 532 × 532 pixels, file size: 550 KB)
[edit] Summary
In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in the hyperbolic plane there are infinitely many lines parallel to a given line passing through the same point.
[License: as the sole author of this image, I hereby release it into the public domain.]
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File history
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| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 14:09, 29 April 2008 | 532×532 (550 KB) | Trevorgoodchild (Talk | contribs) | (Minor modification to image -- putting in white background.) |
| 22:08, 26 April 2008 | 532×532 (554 KB) | Trevorgoodchild (Talk | contribs) | (In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in t) | |
| 22:02, 26 April 2008 | 211×211 (553 KB) | Trevorgoodchild (Talk | contribs) | (In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in ) | |
| 22:01, 26 April 2008 | 211×211 (553 KB) | Trevorgoodchild (Talk | contribs) | (In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in ) | |
| 22:00, 26 April 2008 | 211×211 (553 KB) | Trevorgoodchild (Talk | contribs) | (In the Poincaré disc model of the hyperbolic plane, lines are represented by circular arcs orthogonal to the boundary of the closure of the disc. The thin black lines meet at a common point and do not intersect the thick blue line, illustrating that in ) |
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